Twenty pairs of individuals playing in a bridge tournament have been seeded 1, ... , 20. In

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Twenty pairs of individuals playing in a bridge tournament have been seeded 1, ... , 20. In the first part of the tournament, the 20 are randomly divided into 10 east- west pairs and 10 north-south pairs.

a. What is the probability that x of the top 10 pairs end up playing east-west?

b. What is the probability that all of the top five pairs end up playing the same direction?

c. If there are 2n pairs, what is the pmf of X = the number among the top n pairs who end up playing east-west? What are E(X) and V(X)?

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